Andy Grogan-Kaylor
2021-05-17
##
## better normal
## failure 50 32
## success 50 68
It appears that one is better off going to the normal hospital because there is a 68% success rate.
We are only measuring the outcome of failure or success and the type of hospital.
We now consider severity of case, in addition to type of hospital and outcome.
## , , = less severe
##
##
## better normal
## failure 2 16
## success 18 64
##
## , , = more severe
##
##
## better normal
## failure 48 16
## success 32 4
Considering severity of case, the rate of success is always better in the better hospital.
The disparity arises because more of the more severe cases go to the better hospital. Once we account for this disparity, we see the the better hospital performs better for both levels of severity.